Abstract: Strategic emerging industrial cluster network as an important form of the current industrial development, with an intensive technological innovation, prominent economies of scale and knowledge spillovers, and other characteristics, is a symbol of strategic emerging industry formation and an effective model for its development. In this paper, the Logistic model is used to characterize the strategic emerging industry cluster’s life cycle. Then, the scale-free evolution model being optimized based on the growth rate of strategic emerging industrial clusters and gray number being introduced, an evolution model of the strategic emerging industrial network is constructed considering the growth of innovators flow, the evolution process, and the stability state of the strategic emerging industrial cluster network are analyzed. Finally, an example is given to simulate and comparatively analyze the characteristics of the inflection point with the change of relevant parameters in the evolution process of the cluster network. The research results can provide some theoretical reference and guidance for the cultivation of strategic emerging